GRADES 1 to 12
DAILY LESSON LOG
School
APOLONIA INTEGRATED SCHOOL
Grade Level
6
Teacher
WENIFREDA P. SOLAYAO
Learning Area
MATHEMATICS
Dates and Time
FEBRUARY 28, 2024
Quarter
3
I. OBJECTIVES
The learner demonstrates understanding of sequence in forming rules, expressions
and equations.
The learner is able to apply knowledge of sequence, expressions, and equations in
mathematical problems and real-life situations.
A. Content Standards
B. Performance Standard
Formulates the rule in finding the nth term
using different strategies (looking for a pattern, guessing and checking, working
backwards) e.g., 4,7,13, 16…n (the nth term is 3n+1) M6AL-IIId-7
C. Learning Competencies
Write the LC code for each
Writing Rules for Sequence
II. CONTENT
List the materials to be used in different days. Varied sources of materials sustain children’s interest in the lesson and
learning. Ensure that there is a mix of concrete and manipulative materials as well as paper-based materials. Hands-on
learning promotes concept development.
III. LEARNING RESOURCES
A. References
1. Curriculum Guide pages
2. Teacher’s Guide pages
3. Learners Material pages
K to 12 Math 6, MELC page 224-225
MATHletes 6 Teachers Guide (TG) page 85-87
MATHletes 6 Learner’s Material (LM) page 212-223
4. Textbook pages
5. Additional materials from
Learning Resource (LR) portal.
B. Other Learning Resource
power point presentation, flashcards, charts
IV. PROCEDURES
A. Reviewing previous
lesson or presenting
the new lesson
These steps should be across the week. Spread out the activities appropriately so that students will learn well. Always be
guided by demonstration of learning by the students which you can infer from formative assessment activities. Sustain
learning systematically by providing students with multiple ways to learn new things, practice their learning, question their
learning processes, and draw conclusion about what they leaned in relation to their life experiences and previous knowledge.
Indicate the time allotment for each step.
Facilitator’s Activity
Good morning class!
How are you today?
Learner’s Activity
Good morning, Ma’am
We are all okay.
Do you want to have a Game?
Yes Ma’am
Okay,
I will group the class into three group, As
the object flash on the TV screen you will
answer it using the flash cards. (Identify
the plane and solid figure) The group that
can answer correctly will be the winner.
1.
2.
5.
3.
6.
4.
7.
(Expected answers)
1.plaine figure
2.solid figure
3.plaine figure
4.solid figure
5.solid figure
6.solid figure
7.plaine figure
8.plaine figure
9. plane figure
10.solid figure
8
9..
10.
Did you enjoy the game?
Based on the game, what is the difference
between plane figure and solid figure?
Yes Ma’am
(Expected answer)
Plane figure is a flat surface and has two
dimensions the length and width, while solid
figure has 3 dimensions, length, width and
height
Very Good!
B. Establishing a purpose for
the lesson
Class, what do you think is the next two
letter in the sequence below;
(Answer may vary).
O, T, T, F, F, S, S, E, _, _,
What did you observe the patterns of
numbers?
C. Presenting examples of
the new lesson
Ma’am, they are arrange from least to greatest
This morning we are going to know how to
formulate the rule in finding the nth term of a
sequence.
But before we go on with our lesson, let us
know first the meaning of the following terms.
The pupils will listen to the teacher
Sequence – is a set of numbers
written in a special order by the
application of a definite rule.
Ex. 3, 5, 7, 9…
Here are some sequences. Class you can
guess the next number, letter, or figure
1. 2, 4, 6, …
2. A, D, G, J, …
3.
Yes Ma’am
(Expected Answer)
2, 4, 6, 8, 10, 12
A, D, G, J, M, P, S
Terms – used in each sequence
D. Discussing the new
concepts and practicing
new skills #1
Ex. 3, 5, 7, 9…
33
35
Sequence
7
9
Next three
terms
a. 𝑦, 𝑦 2 , 𝑦 3 , 𝑦 4 , …
b. a, 2b, 3c, 4d…
c.a, a+b, a+2b…
d.7a, 5a, 3a…
Expected answers
a. 𝑦 5 , 𝑦 6 , 𝑦 7
b. 5e, 6f, 7g
c. a+3b, a+4b, a+5b
d. a, -a, -3a
The pupils will listen and cooperate during
discussion
E. Discussing the new
concepts and practicing
new skills #2
F. Developing mastery
(Leads to formative
assessment 3)
Groupings
Find the next three terms and formulate the
nth term rule.
a.)2, 3, 4, 5, …
b) 2, 4, 6, 8, …
c.)2, 5, 8, 11, …
Group I will answer letter a, Group II letter b,
and Group III, letter c.
Presentation by group. Each leader will
present the output in class.
The pupils will group into 3 group and do the
assigned task.
Pupils will listen
Read and understand the problem.
G. Finding practical
application of concepts
and skills in daily living
Erica saves twice as much as what she
saved the day before. If she starts savings
2.00 on March 1, how much will she save on
March 10? How much money will she save
The pupils will cooperate the discussion
on a specific day if she will continue saving
in the future?
H. Making
generalization and
abstraction about the
lesson
I.
Evaluating learning
How do we find the nth term of a sequence?
Find the next three terms in each sequence.
Then write the rule for finding the nth term.
1. 10, 15, 20, 25, ___, ___, ___
2. 20, 16, 12, 8, ___, ___, ___
3. 3, 5, 7, 9, ____, ___, ___
4. 2, 5, 8, 11, ____, ___, ___
5.
J. Additional activities
for application or
remediation
1 1 1
1
, , , , 5, ___, ___, ___
2 3 4
Write the rule used for each sequence, then
write the missing number
1)3, 7, 11, 15, ____
2)5, 9, 17, 33, ____
3)20, 12, 8, 6, ____
4)2, 8, 26, 80, ____
5)36, 69, 135, 267, ____
To formulate the rule in finding the nth term of a
sequence, we can look for a pattern, guess and
check, or work backwards.
Expected answer
1. 30, 35, 40 Rule: 5n + 5
2. 4, 0, -4 Rule: 24- 4n
3. 11, 13, 15 Rule: 2n + 1
4. 14, 17, 20 Rule: 3n – 1
1 1 1
1
5. , , , Rule:
6 7 8
𝑛+1
1)3, 7, 11, 15, ____
2)5, 9, 17, 33, ____
3)20, 12, 8, 6, ____
4)2, 8, 26, 80, ____
5)36, 69, 135, 267, ____
Ans:19 ( +4 )
Ans:65 ( x 2 – 1 )
Ans:5 ( ÷ 2 + 2 )
Ans:242 ( x 3 + 2 )
Prepared by:
WENIFREDA P. SOLAYAO
Grade IV Teacher
Noted:
MA. VICTORIA A. MISAGAL
School Head
Republic of the Philippines
Department of Education
Region VIII
Division of Samar
District of Wright I
APOLONIA INTEGRATED SCHOOL
502434
Detailed Lesson Plan
in
Mathematics 6
Third Quarter
SY 2023-2024
Prepared by:
WENIFREDA P. SOLAYAO
Teacher
Noted:
MA. VICTORIA A. MISAGAL
School Head
Plane
figure
Solid
Figure
0
